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Foundation June 2018 Unit 2 Q16

WJECFoundationCurrent spec2 marksAngles (Including Parallel Lines)Angles in Polygons

16. Circle the correct equation for each of the following.
All the lines shown are straight lines.

(a) [1]
Two parallel lines (marked with arrows) crossed by a straight line; at the upper crossing the angles are s, r, p, q and at the lower crossing d, c, a, b (top-left, top-right, bottom-left, bottom-right)

\(a + c + s + q = 360^\circ\)     \(p + a = 180^\circ\)     \(c = q\)     \(d = r\)     \(p + q + d + c = 180^\circ\)

(b) [1]
A regular pentagon with each side extended by a dashed line, showing the exterior angles a, b, c, d and e

\(\dfrac{a+b+c+d+e}{5} = 360^\circ\)     \(a+b+c+d+e = \dfrac{360^\circ}{5}\)     \(a+b+c+d+e = 180^\circ\)

\(a+b+c+d+e = 540^\circ\)     \(a+b+c+d+e = 360^\circ\)

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